Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis. у %3 Зх — 4, у — — Зх + 2, х — 2 NOTE: Enter the exact answer. V =

Q: Let f(x) = V31 – x. Compute f'(6) using the limit definitic f'(6) = %3D Find an equation of the…

A: Given: f(x)=31-x

Q: ssignment : Determine the integral of the ff. function 1. S- 6 dx 2. S5 х4 dx 3. S ( 4 x7 + 7) dx 4.…

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Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 9

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Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: Evaluate the integral (3x – 1)(V+ 1)da. -

A: In this question we have to find the Integration.

Q: Find f. (x + 1) f'(x) = (1) = 3 %3D f(x) =

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Q: Find the intervals of concavity of the function g(x)=2x4+9x3

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Q: uate the integral dx. /1+x

A: Given  jkjbb

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: p(x) = sin x cOs x Select the correct response. Otan x O cos? r - sin? r COS sin? x – cos? x 1

A: p(x) = sinx/cosx here i think question is sinx*cosx any of the answer is not possible so the…

Q: dr Evaluate the integral / dx. sin x cos x

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

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Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

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Q: +00 dx Evaluate the improper integral x (In x)?

A: To solve the following integral

Q: Given the differential equation y" = 4 x y' Using Reduction of Order and the letter "R" to this…

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Q: Determine the derivative of each function using the limit definition. 1. y= 2 - 7x 2. f(x)= 4 -5x…

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Q: What percentage of bookcases in the example are large? Large constitute: ______ %

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: given  r(t) = cos(πt) i - ln(t) j + √(t-4)k ; t0 = 5  Have to find domain of r(t) and valu of r(5).

Q: f(E) = 90€-7€ %3D

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Q: III. Evaluate 4 - x -dx. V16 – x2

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Q: A. Direction: Use the definition of continuity of a function at a number in determining whether f(x)…

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Q: 1) An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile…

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Q: /13 3 Find the first four terms of the binomial series for the function (1+ 2x)°. The first term is

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Q: dx 1-S, 4+x2

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Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), % = 3t; 0 < t < T L =

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Q: J 2 sec sec x tan tan x dx

A: Let's find.

Q: N= N, - 0.2 t ,e

A: To find dN/dt for the followingN=N0e-0.2t

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: Directions: Answer what is indicated in each number. 1. Find the derivative of f(x) = 3x², and…

A: 1.  f(x)=3x22. The curve y=2x2+3

Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: 2.x h(x) = 5x3 + 6 Select the correct response: 8.x3 15x2 +6 10x + 48x (5r + 6)2 10. + 6x® 5x3 + 6…

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Q: 2- fx'e-2x* dx

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Q: NG) Find T(t) and N(t) at the given point. T r(t) = 8 cos(t)i + 8 sin(t)j+ tk; t = T()= NE) -| ||

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Q: Find the arc length of the parametric curve. x = 4 cos(t), y = 4 sin(t), z = 3t; 0<t< T L =

A: Given parametric curvex=4 cost , y= 4 sint  , z=3t ;  0≤t≤π

Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

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Q: tan 0 =-1, 0 in QIV

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Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

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Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: The given condition, a Petri dish containing 3000 newly discovered flesh-eating bacteria makes a…

Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

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Q: A man decides which load plan is the best choice if he has an average of 1000.75 min of call in 30…

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Q: A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000 square…

A: Let length =l Breadth = b

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: Vxdx 10. 9+x4 3/4

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Q: Sketch the region and find the area of the region bounded by y = 3x + 1, the lines x = 1 and x = 4,…

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Q: 18r +3 2. dr. 92+6r +2 cos z dr. 3.

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Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: 100e0.1z thousands of Over the next 5 years, a company projects its continuous flow of revenue to be…

A: To find the expected profit of the company

Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider